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Ivahew [28]
3 years ago
5

Classify triangle ABC by its sides if side AB = 6x, side AC = 4x + 6 and side BC = 8x + 3. The perimeter of triangle ABC is 63.

Show all your work.
Mathematics
1 answer:
wolverine [178]3 years ago
4 0

Answer:

So the triangle ABC is an isosceles triangle

Step-by-step explanation:

By definition the perimeter of a triangle is equal to the sum of the lengths of its sides.

In this case we know that the perimeter is 63

The lengths of its sides depend on x.

AB = 6x\\AC = 4x + 6\\BC = 8x + 3

So:

6x + 4x + 6 + 8x + 3 = 63

Now we solve for the variable x.

6x + 4x + 6 + 8x + 3 = 63

18x + 9 = 63

18x = 54

x=\frac{54}{18}\\\\x=3

Therefore:

AB = 6(3)=18\\AC = 4(3)+6=18\\BC = 8(3) + 3=27

The triangle has two sides of equal length. The triangles that have two equal sides are the isosceles triangles.

So the triangle ABC is an isosceles triangle

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